Agler, Lykova and Young introduced a sequence , where ν ≥ 0, of necessary conditions for the solvability of the finite interpolation problem for analytic functions from the open unit disc into the symmetrized bidisc Γ. They conjectured that condition is necessary and sufficient for the solvability of an n-point interpolation problem. The aim of this article is to give a counterexample to that conjecture.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap114-2-2,
author = {Adama S. Kamara},
title = {A counterexample to the $\Gamma$-interpolation conjecture},
journal = {Annales Polonici Mathematici},
volume = {113},
year = {2015},
pages = {115-121},
zbl = {06451623},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap114-2-2}
}
Adama S. Kamara. A counterexample to the Γ-interpolation conjecture. Annales Polonici Mathematici, Tome 113 (2015) pp. 115-121. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap114-2-2/